Piotr Szewczyk

I am a Ph.D. student in the Institut für Algebra under the joint supervision of Arno Fehm and Sylvy Anscombe since April 2022. I am interested in the model theory of valued fields, particularly generalizations of the Ax-Kochen/Ershov property, characterizing class of extremal fields, and in understanding various types of defect extensions/defectless properties for valued fields. In my research, I am supported by the DFG in project 404427454.

Papers and preprints

• A.Rzepka, P.Szewczyk “Defect extensions and a characterization of tame fields” Journal of Algebra 630
• H.Ćmiel, F-V. Kuhlmann, P. Szewczyk (2022). “Continuity of roots for polynomials over valued fields” Communications in Algebra
• P. Błaszkiewicz, H. Ćmiel, A. Linzi, P. Szewczyk (2019). “Caristi-Kirk and Oettli-Théra Ball Spaces and applications” Journal of Fixed Point Theory and Applications 21(4)

Contact

Zellescher Weg 12-14, Willersbau Zi. C 117

TU Dresden
Fachrichtung Mathematik
Institut für Algebra